if x% of y is 100 and y% of z is 200 then find a relation between x and z

Question

please explain me

Answer 1

if x% of y is 100, then (x/100)y = 100

if y% of z is 200, then (y/100)z = 200

 

We need to rearrange the terms of the 1st equation to solve for y and use that for the 2nd equation.

 

if (x/100)y = 100, then y = 100²/x

Use this value of y in the 2nd equation

(y/100)z = 200

[(100²/x)/100]z = 200

 

This is equivalent to

(100/x)z = 200

100z = 200x

x = (100/200)z

x = 1/2 z